Suppose that the piecewise function f is defined by1,f(x) = {√x++ 5x − 4 + √5,Determine which of the following statements are true.Select the correct answer below:O f(x) is not continuous at x = 4 because it is not defined at x = 4.○ ƒ(4) exists, but f(x) is not continuous at x = 4 because lim f(x) does not exist.x→4○ ƒ(4) and lim f(x) both exist, but f(x) is not continuous at x = 4 because lim f(x) ‡ƒ(4).x→4O f(x) is continuous at x = 4.Dex-1 < x≤ 4x > 4 The graph of f(x) is shown below. Which of the following statements are true?-7 -6-4 -3 -2Select the correct answer below:O f(x) has a removable discontinuity at x = 0.O f(x) has a jump discontinuity at x = 0.O f(x) has an infinite discontinuity at x = 0.O f(x) is continuous at x = 0.207654N1-1 0-1-2-3-5-6-712456+I

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Suppose that the piecewise function f is defined by Determine which of the following statements are true. Select the correct answer below: Of(x) is not continuous at x = 4 because it is not defined at x = 4. ƒ(4) exists, but f(x) is not continuous at x = 4 because limf(x) does not exist. x-4 f(4) and lim f(x) both exist, but f(x) is not continuous at x = 4 because limf(x) ‡ fƒ(4). x-4 Of(x) is continuous at x = 4. 1, f(x) = { √x + + ²5x −4+ √5₁ x>4 -1 < x≤4

Suppose that the piecewise function f is defined by Determine which of the following statements are true. Select the correct answer below: Of(x) is not continuous at x = 4 because it is not defined at x = 4. ƒ(4) exists, but f(x) is not continuous at x = 4 because limf(x) does not exist. x-4 f(4) and lim f(x) both exist, but f(x) is not continuous at x = 4 because limf(x) ‡ fƒ(4). x-4 Of(x) is continuous at x = 4. 1, f(x) = { √x + + ²5x −4+ √5₁ x>4 -1 < x≤4

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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